Following up after sending resume

I emailed a professor about doing research with them once the semester starts. They asked for my resume and a statement of interest, which I sent, but I got no response since then. It's been about a month since then, so I was wondering how I would go about following up on it to let him know I'm still interested? The semester starts in another 2 months so there's still lots of time, but I still want to send a followup. Is that a good idea?